What Are The Odds?

As an aid to game play and game designing, here's a couple of tables to show you the chances to roll a particular total (or a particular total or less) using two six-sided dice and three six-sided dice.

As per house rule, rolls count only when they're on the table.


TWO SIX-SIDED DICE

TotalFraction For
Exact Total
Percentage For
Exact Total
Fraction For
Total Or Less
Percentage For
Total Or Less
21/362.8%1/362.8%
31/185.6%3/368.3%
41/128.3%6/3616.7%
51/911.1%10/3627.8%
65/3613.9%15/3641.7%
71/616.7%21/3658.3%
85/3613.9%26/3672.2%
91/911.1%30/3683.3%
101/128.3%33/3691.7%
111/185.6%35/3697.2%
121/362.8%36/36100%


THREE SIX-SIDED DICE

TotalFraction For
Exact Total
Percentage For
Exact Total
Fraction For
Total Or Less
Percentage For
Total Or Less
31/2160.5%1/2160.5%
43/2161.4%4/2161.9%
56/2162.8%10/2164.6%
610/2164.6%20/2169.3%
715/2166.9%35/21616.2%
821/2169.7%56/21625.9%
925/21611.6%81/21637.5%
1027/21612.5%108/21650.0%
1127/21612.5%135/21662.5%
1225/21611.6%160/21674.1%
1321/2169.7%181/21683.8%
1415/2166.9%196/21690.7%
1510/2164.6%206/21695.4%
166/2162.8%212/21698.1%
173/2161.4%215/21699.5%
181/2160.5%216/216100%

Roll up to the top of this page, the top of the two six-sided table, the top of the three six-sided table or toss back to the 8 Arrows home page.